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22212231220 = 225732208409
BaseRepresentation
bin10100101011111100…
…111100000000110100
32010100000020020222101
4110223330330000310
5330442312344340
614112033111444
71414303564414
oct245374740064
963300206871
1022212231220
119469253093
12437a9b8584
13212cacc5aa
14110a028644
158a00a1c9a
hex52bf3c034

22212231220 has 36 divisors (see below), whose sum is σ = 47293647660. Its totient is φ = 8763139584.

The previous prime is 22212231193. The next prime is 22212231241. The reversal of 22212231220 is 2213221222.

It can be written as a sum of positive squares in 6 ways, for example, as 857669796 + 21354561424 = 29286^2 + 146132^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376 + ... + 210784.

It is an arithmetic number, because the mean of its divisors is an integer number (1313712435).

Almost surely, 222212231220 is an apocalyptic number.

22212231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212231220 is an abundant number, since it is smaller than the sum of its proper divisors (25081416440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22212231220 is a wasteful number, since it uses less digits than its factorization.

22212231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208564 (or 208489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22212231220 its reverse (2213221222), we get a palindrome (24425452442).

It can be divided in two parts, 2221 and 2231220, that added together give a triangular number (2233441 = T2113).

The spelling of 22212231220 in words is "twenty-two billion, two hundred twelve million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 5329 10658 21316 26645 53290 106580 208409 416818 833636 1042045 2084090 4168180 15213857 30427714 60855428 76069285 152138570 304277140 1110611561 2221223122 4442446244 5553057805 11106115610 22212231220